Проверочная работа № 1. Дано уравнение 2x + 4 = 3x + 5. Какое из уравнений имеет те же корни, что и данное:

The original equation is 2x + 4 = 3x + 5.
Solving for x: 2x - 3x = 5 - 4 => -x = 1 => x = -1.
Let's check the options:
a) 2x + 3x = 4 + 5 => 5x = 9 => x = 9/5.
b) 2x - 3x = 5 - 4 => -x = 1 => x = -1.
c) 2x - 3x = 5 + 4 => -x = 9 => x = -9.
d) 2x - 3x = 4 - 5 => -x = -1 => x = 1.
Therefore, option b) has the same root.